Standing waves and resonance frequency

1. Dec 20, 2008

Niles

1. The problem statement, all variables and given/known data
Hi all.

I have shown that standing waves occur on a string of length L (fastened at x=0 and x=L) for angular frequencies:

$$\omega_n=n\frac{v\pi}{L}.$$

Are these frequencies the same as the strings resonance frequencies?

Regards,
Niles.

2. Dec 20, 2008

LowlyPion

3. Dec 20, 2008

Niles

Hmm, not really. I'm just wondering if the above frequencies are the resonant frequencies of the string.

4. Dec 20, 2008

Redbelly98

Staff Emeritus
Yes. According to LowlyPion's link, standing waves are pretty much synonymous with a string's resonant modes.

5. Dec 20, 2008

NBAJam100

Im gonna highjack this thread and say that redbelly has the best icon of all time... im not sure why but im laughing hysterically at the sight of a bird wrapped in Christmas lights hahah

6. Dec 20, 2008

Niles

Hmm, yeah.. I guess it does say indirectly.

Thanks to all.

7. Dec 20, 2008

Redbelly98

Staff Emeritus
Thanks!

You're welcome.